42599520 has 240 divisors, whose sum is σ = 159168240. Its totient is φ = 10699776.

The previous prime is 42599429. The next prime is 42599537. The reversal of 42599520 is 2599524.

It is a happy number.

42599520 is a `hidden beast` number, since 42 + 5 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246154 + ... + 246326.

It is an arithmetic number, because the mean of its divisors is an integer number (663201).

Almost surely, 2^42599520 is an apocalyptic number.

42599520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42599520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79584120).

42599520 is an abundant number, since it is smaller than the sum of its proper divisors (116568720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42599520 is a wasteful number, since it uses less digits than its factorization.

42599520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 42599520 is about 6526.8307776439. The cubic root of 42599520 is about 349.2487833501.

The spelling of 42599520 in words is "forty-two million, five hundred ninety-nine thousand, five hundred twenty".